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Finding the Fourth Proportional to 194.85, 268.89 and 107.53

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Solution

The fourth proportional to 194.85, 268.89 and 107.53 is: 148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.85 : 268.89 = 107.53 : x
  2. Step 2: Convert to fraction form
    194.85/268.89 = 107.53/x
  3. Step 3: Cross multiply
    194.85x = 268.89 × 107.53
  4. Step 4: Simplify right side
    194.85x = 28,913.74
  5. Step 5: Solve for x
    x = 28,913.74/194.85
  6. Step 6: Final answer
    x = 148.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.